Chapter 13.1, Problem 4SE

A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X₁ = median age in 2005, X₂ = number of 2005 bankruptcies per 1,000 people, X₃ = 2004 federal expenditures per capita, and X₄ = 2005 high school graduation percentage. (a) Write the fitted regression equation. (b) Interpret each coefficient. (c) Would the intercept seem to have meaning in this regression? (d) Make a prediction for Burglary when X₁ = 35 years, X₂ = 7.0 bankruptcies per 1,000, X₃ = $6,000, and X₄ = 80 percent.